find the perimeter of a semicircle whose diameter is 35 cm
Answers
GIVEN :-
Diameter of semicircle ( d ) = 35 cm.
TO FIND :-
The perimeter of the semicircle.
SOLUTION :-
As we know that the perimeter of semicircle is given by,
⇒ Perimeter = πr + 2r
⇒ Perimeter = 22/7 × (d/2) + 2 × (d/2)
⇒ Perimeter = 22/7 × 35/2 + 2 × 35/2
⇒ Perimeter = 22 × 5/2 + 35
⇒ Perimeter = 11 × 5 + 35
⇒ Perimeter = 55 + 35
⇒ Perimeter = 90 cm.
Hence perimeter of the semicircle is 90 cm.
Extra Information :-
⇒ Surface area of a cuboid = 2 (lb + bh + hl)
⇒ Surface area of a cube = 6a²
⇒ Curved surface area of a cylinder = 2πrh
⇒ Total surface area of a cylinder = 2πr(r+h)
⇒ Curved surface area of a cone = πrl
⇒ Total surface area of a right circular = πrl + πr²
⇒ Surface area of a sphere = 4πr²
⇒ Curved surface area of a hemisphere = 2πr²
⇒ Total surface area of a hemisphere = 3πr²
⇒ Volume of a cube = a³
⇒ Volume of a cylinder = πr²h
⇒ Volume of a cone = 1/3πr²h
⇒ Volume of a sphere =4/3πr²
⇒ Volume of a hemisphere = 2/3πr²
I hope this is helpful!
Step-by-step explanation:
The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.
Perimeter = 90 cm. Hence perimeter of the semicircle is 90 cm.